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# quiz5 - PHYSICS 2D QUIZ 5 WINTER QUARTER 2011 PROF. HIRSCH...

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Unformatted text preview: PHYSICS 2D QUIZ 5 WINTER QUARTER 2011 PROF. HIRSCH MARCH 4th, 2011 Formulas : Time dilation; Length contraction: " t = # " t ' \$ # " t p ; L = L p / # ; c = 3 % 10 8 m / s Lorentz transformation: x ' = " ( x # vt ) ; y '= y ; z '= z ; t ' = " ( t # vx / c 2 ) ; inverse: v \$- v Spacetime interval: ( " s ) 2 =( c " t ) 2-[ " x 2 + " y 2 + " z 2 ] Velocity transformation: u x ' = u x " v 1 " u x v / c 2 ; u y ' = u y # (1 " u x v / c 2 ) ; inverse: v \$- v Relativistic Doppler shift: f obs = f source 1 + v / c / 1 " v / c (approaching) Momentum: r p = " m r u ; Energy: E = " mc 2 ; Kinetic energy: K = ( " # 1) mc 2 Rest energy: E = mc 2 ; E = p 2 c 2 + m 2 c 4 Electron: m e = 0.511 MeV / c 2 Proton: m p = 938.26 MeV / c 2 Neutron: m n = 939.55 MeV / c 2 Atomic mass unit : 1 u = 931.5 MeV / c 2 ; electron volt : 1eV =1.6 " 10-19 J Stefan's law : e tot = ¡ T 4 , e tot = power/unit area ; ¡ = 5.67 ¢ 10 £ 8 W / m 2 K 4 e tot = cU /4 , U = energy density = u ( ¡ , T ) d ¡ ¤ \$ ; Wien's law : ¡ m T = hc 4.96 k B Boltzmann distribution: P ( E ) = Ce- E /( k B T ) PlaNCk's law ¡ u " ¢ " , T £ = N " ¢ " £ # E ¢ " , T £ = 8 \$ " 4 # hc / " e hc / " k B T % ¤ ¥ N ¢ f £ = 8 \$ f ¦ c 3 Photons: E = hf = pc ; f = c / " ; hc =12,400 eV A...
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## This note was uploaded on 04/12/2011 for the course PHYS 2D taught by Professor Hirsch during the Winter '08 term at UCSD.

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quiz5 - PHYSICS 2D QUIZ 5 WINTER QUARTER 2011 PROF. HIRSCH...

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